# The ratio of the number of apples in Box A to the number of apples in Box B is 3:2. All the apples in Box B are green. The ratio of the number of green apples to the number of red apples in Box A is 4:5. There are 20 more green apples in Box B than in Box A. How many red apples are there?

$Let\;apples\;in\;Box\;A=3x\\*Apples\;in\;Box\;B=2x\\*As\;given\;that\;ratio\;of\;apples\;in\;Box\;A=\frac{4}{5}\\*So,\;number\;of\;green\;apple\;in\;Box\;A=4y \\*number\;of\;red\;apple\;in\;Box\;A=5y\\* So,\;4y+5y=3x\Rightarrow 3y=x\;\;\;\;\;\;....eq(1)\\*also,\;2x=4y+20 \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;....eq(2)\\*Using\;....eq(1)\;and\;....eq(2)\\* we\;will\;get\;y=10\;and\;x=30\\*\Rightarrow 5y=5(10)=50\\*\therefore Total\;number\;of\;red\;apples\;is\;50$

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